Estimate the greatest distance between earth and uranus (adding and subtracting decimals)

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Ответ:

ReonRamseyz

15.09.2022

Mathematics

A. (–8, 2)

Step-by-step explanation:

The given system is

$y=\frac{1}{2}x+6\\ y=-\frac{3}{4}x-4$

Let us equate both of them to get:

$\frac{1}{2}x+6=-\frac{3}{4}x-4$

Multiply through by 4 to get:

$4*\frac{1}{2}x+4*6=4*-\frac{3}{4}x-4*4$

Simplify:

2x+24=-3x-16

Group similar terms:

$2x+3x=-16-24\\5x=-40\\x=-8$

Put x=-8 in the first equation:

$y=\frac{1}{2}(-8)+6=-4+6=2$

The correct answer is A

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